| 一类具有脉冲效应的非线性竞争系统的持久及全局吸引性(英文) |
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| 引用本文： | 刘彦平,王万雄,雒志学.一类具有脉冲效应的非线性竞争系统的持久及全局吸引性(英文)[J].应用数学,2010,23(4). |
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| 作者姓名： | 刘彦平 王万雄 雒志学 |
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| 作者单位： | 1. 甘肃农业大学理学院,甘肃兰州,730070
2. 兰州交通大学数学系,甘肃兰州,730070 |
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| 摘 要： | 通过利用常微分方程比较定理以及构造恰当Lyapounov泛函,研究了一类具有脉冲效应的广义非自治n种群Gilpin-Ayala竞争系统,给出了使系统正解持久以及全局吸引的充分性条件,所得结论改进并推广了一些现有结果.
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| 关 键 词： | 持久 全局吸引 非线性 时滞 脉冲效应 |
Permanence and Global Attractivity of a Nonlinear Competitive System with Impulsive Effect |
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| LIU Yanping,WANG Wanxiong,LUO Zhixue.Permanence and Global Attractivity of a Nonlinear Competitive System with Impulsive Effect[J].Mathematica Applicata,2010,23(4). |
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| Authors: | LIU Yanping WANG Wanxiong LUO Zhixue |
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| Abstract: | By using the comparison theorem of ordinary differential equations and constructiong suitable Lyapunov functional,a generalized nonautonomous n- species Gilpin-Ayala competition system with impulsive effect is investigated.The sufficient conditions are derived for the permanence and the global attractivity of a positive solution of the model.Our new results improve and generalize some existing results. |
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| Keywords: | Permanence Global attraction Nonlinear Delay Impulsive effect |
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